Date: Tue, 05 Nov 1996 00:40:57 GMT
Server: NCSA/1.5
Content-type: text/html
Last-modified: Mon, 28 Oct 1996 18:31:46 GMT
Content-length: 10519

<HTML>
<HEAD>
<TITLE> Selected articles of Amos Ron</TITLE>
</HEAD>
<body background=backs/paper.jpg text=#0000cc  link=#FF3300 vlink=#993333>
<BR>
<H2>Selected articles of <ST>Amos Ron</ST></H2>

<H3><ST> all icons on this page are clickable </ST></H3>

each article listed below can be viewed on-line by clicking the red ball
next to it. Or course, all articles are downloadable. They can also
ftp'ed
<!WA0><!WA0><!WA0><!WA0><A HREF="ftp://ftp.cs.wisc.edu/Approx"><!WA1><!WA1><!WA1><!WA1><img align=middle 
src="http://www.cs.wisc.edu/~amos/acimages/smallftp.gif"></A>
from <TT>ftp.cs.wisc.edu/Approx</TT>, but that's a silly option, if you
are already here.
The files are postscript, and are also available as compress(ed) files, as
indicated by the subscript <TT>.Z</TT>, to be <TT>uncompress</TT>(ed) before 
using.<BR>


The files are in order of increasing age.<BR>

<P>
<DD><!WA2><!WA2><!WA2><!WA2><A href="ftp://ftp.cs.wisc.edu/Approx/BDR4.ps"><!WA3><!WA3><!WA3><!WA3><img alg="o"
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif
"></A>
<TT>BDR4.ps</TT>,   <!WA4><!WA4><!WA4><!WA4><A href="ftp://ftp.cs.wisc.edu/Approx/BDR4.ps.Z"><!WA5><!WA5><!WA5><!WA5><img
alg="o
" src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>BDR4.ps.Z</TT> :=<BR>
Approximation orders of FSI spaces in $L_2(\Rd)$<BR>
Carl de Boor, Ron DeVore, and Amos Ron<BR>
March 1996<BR>
additional references added June 1996<BR>
submitted to Constructive Approximation<BR>


<P>
<DD><!WA6><!WA6><!WA6><!WA6><A href="ftp://ftp.cs.wisc.edu/Approx/tight.ps"><!WA7><!WA7><!WA7><!WA7><img alg="o"
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>tight.ps</TT>,   <!WA8><!WA8><!WA8><!WA8><A href="ftp://ftp.cs.wisc.edu/Approx/tight.ps.Z"><!WA9><!WA9><!WA9><!WA9><img
alg=
"o" src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>tight.ps.Z</TT> :=<BR>
Compactly supported tight affine spline frames in $L_2(\Rd)$<BR>
Amos Ron and Zuowei Shen<BR>
February 1996<BR>
submitted to Math. Comp.<BR>


<P>
<DD><!WA10><!WA10><!WA10><!WA10><A href="ftp://ftp.cs.wisc.edu/Approx/affine.ps"><!WA11><!WA11><!WA11><!WA11><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>affine.ps</TT> :=<BR>
Affine systems: the analysis of the analysis operator<BR>
Amos Ron and Zuowei Shen<BR>
December 1995<BR>
submitted

<P>
<DD><!WA12><!WA12><!WA12><!WA12><A href="ftp://ftp.cs.wisc.edu/Approx/ker2.ps"><!WA13><!WA13><!WA13><!WA13><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>ker2.ps</TT> :=<BR>
On ascertaining inductively the dimension of the joint kernel <BR>
of certain commuting linear operators II<BR>
Carl de Boor, Amos Ron and Zuowei Shen<BR>
May 1995<BR>

<P>
<DD><!WA14><!WA14><!WA14><!WA14><A href="ftp://ftp.cs.wisc.edu/Approx/cdr.ps"><!WA15><!WA15><!WA15><!WA15><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>cdr.ps</TT> :=<BR>
How smooth is the smoothest function in a given refinable space?<BR>
Albert Cohen, Ingrid Daubechies, Amos Ron<BR>
May 1995<BR>
appeared in ACHA, {\bf 3}, 87--89, 1996<BR>




<P>
<DD><!WA16><!WA16><!WA16><!WA16><A href="ftp://ftp.cs.wisc.edu/Approx/frame2.ps"><!WA17><!WA17><!WA17><!WA17><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>frame2.ps</TT> :=<BR>
Gramian analysis of affine bases and affine frames<BR>
Amos Ron and Zuowei Shen<BR>
March 1995<BR>
appeared in \TexasVIII<BR>


<P>
<DD><!WA18><!WA18><!WA18><!WA18><A href="ftp://ftp.cs.wisc.edu/Approx/smoothwav.ps"><!WA19><!WA19><!WA19><!WA19><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>smoothwav.ps</TT> :=<BR>
Smooth refinable functions provide good approximation orders<BR>
Amos Ron<BR>
February 1995<BR>
to appear in SIAM J. Math. Anal.<BR>




<P>
<DD><!WA20><!WA20><!WA20><!WA20><A href="ftp://ftp.cs.wisc.edu/Approx/wh.ps"><!WA21><!WA21><!WA21><!WA21><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>wh.ps</TT> :=<BR>
Weyl-Heisenberg frames and Riesz bases in $L_2(\Rd)$<BR>
Amos Ron  and  Zuowei Shen<BR>
October 1994<BR>
submitted


<P>
<DD><!WA22><!WA22><!WA22><!WA22><A href="ftp://ftp.cs.wisc.edu/Approx/sphere.ps"><!WA23><!WA23><!WA23><!WA23><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>sphere.ps</TT> :=<BR>
Strictly positive definite functions on spheres<BR>
Amos Ron and Xingping Sun<BR>
February 1994<BR>
To appear in Math. Comp.

<P>
<DD><!WA24><!WA24><!WA24><!WA24><A href="ftp://ftp.cs.wisc.edu/Approx/frame1.ps"><!WA25><!WA25><!WA25><!WA25><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>frame1.ps</TT> :=<BR>
Frames and stable bases for shift-invariant subspaces of $L_2(\Rd)$<BR>
Amos Ron and Zuowei Shen<BR>
February 1994<BR>
appeared in Canadian J. Math.\ {\bf 47} (1995), 1051--1094.  <BR>

<P>
<DD><!WA26><!WA26><!WA26><!WA26><A href="ftp://ftp.cs.wisc.edu/Approx/pscattered.ps"><!WA27><!WA27><!WA27><!WA27><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>pscattered.ps</TT> :=<BR>
$L^p$-approximation orders with scattered centres<BR>
Martin D. Buhmann and Amos Ron<BR>
January 1994<BR>

<P>
<DD><!WA28><!WA28><!WA28><!WA28><A href="ftp://ftp.cs.wisc.edu/Approx/scattered.ps"><!WA29><!WA29><!WA29><!WA29><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>scattered.ps</TT> :=<BR>
Radial basis function approximation: from gridded centers to scattered centers<BR>
Nira Dyn and Amos Ron<BR>
November 1993<BR>
appeared in Proc.\ London Math.\ Soc. {\bf 71 (3)} (1995), 76--108.<BR>

<P>
<DD><!WA30><!WA30><!WA30><!WA30><A href="ftp://ftp.cs.wisc.edu/Approx/approxloc.ps"><!WA31><!WA31><!WA31><!WA31><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>approxloc.ps</TT> :=<BR>
Approximation orders of  and approximation maps from  local principal <BR>
shift-invariant spaces<BR>
Amos Ron<BR>
May 1993<BR>
Journal of Approximation Theory {\bf 81(1)} (1995), 38--65.<BR>


<P>
<DD><!WA32><!WA32><!WA32><!WA32><A href="ftp://ftp.cs.wisc.edu/Approx/wav2.ps"><!WA33><!WA33><!WA33><!WA33><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>wav2.ps</TT> :=<BR>
Multiresolution analysis by infinitely differentiable compactly<BR>
supported functions<BR>
Nira Dyn, Amos  Ron<BR>
September 1992<BR>
Applied and Computational Harmonic Analysis {\bf 2}, 15--20 (1995).<BR>

<P>
<DD><!WA34><!WA34><!WA34><!WA34><A href="ftp://ftp.cs.wisc.edu/Approx/stablemask.ps"><!WA35><!WA35><!WA35><!WA35><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>stablemask.ps</TT> :=<BR>
Characterizations of linear independence and stability of the shifts of a <BR>
univariate refinable function in terms of its refinement mask<BR>
Amos Ron<BR>
September 1992<BR>

<P>
<DD><!WA36><!WA36><!WA36><!WA36><A href="ftp://ftp.cs.wisc.edu/Approx/sct1.ps"><!WA37><!WA37><!WA37><!WA37><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>sct1.ps</TT> :=<BR>
Negative observations concerning approximations from spaces generated by <BR>
scattered shifts of functions vanishing at $\infty$<BR>
Amos Ron<BR>
September 1992<BR>
has appeared in \JAT; 78(3); 1994; 364--372;<BR>


<P>
<DD><!WA38><!WA38><!WA38><!WA38><A href="ftp://ftp.cs.wisc.edu/Approx/ker.ps"><!WA39><!WA39><!WA39><!WA39><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>ker.ps</TT> :=<BR>
On ascertaining inductively the dimension of the joint kernel <BR>
of certain commuting linear operators<BR>
Carl de Boor, Amos Ron, Zuowei Shen<BR>
June 1992<BR>
to appear in Adv. in Math.<BR>

<P>
<DD><!WA40><!WA40><!WA40><!WA40><A href="ftp://ftp.cs.wisc.edu/Approx/aoradial.ps"><!WA41><!WA41><!WA41><!WA41><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>aoradial.ps</TT> :=<BR>
The $L_2$-Approximation Orders of Principal Shift-Invariant<BR>
Spaces Generated by a Radial Basis Function<BR>
Amos Ron<BR>
March 1992<BR>
has appeared in \Nmatnion; 245--268;<BR>

<P>
<DD><!WA42><!WA42><!WA42><!WA42><A href="ftp://ftp.cs.wisc.edu/Approx/aobivar.ps"><!WA43><!WA43><!WA43><!WA43><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>aobivar.ps</TT> :=<BR>
A sharp upper bound on the approximation order of smooth bivariate pp functions<BR>
Carl de Boor and Rong-Qing Jia<BR>
March 1992<BR>
has appeared in J.Approx.Theory; 72(1); 1993; 24--33;<BR>

<P>
<DD><!WA44><!WA44><!WA44><!WA44><A href="ftp://ftp.cs.wisc.edu/Approx/wavelet.ps"><!WA45><!WA45><!WA45><!WA45><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>wavelet.ps</TT> :=<BR>
On the construction of multivariate (pre)wavelets<BR>
Carl de Boor, Ronald A. DeVore, Amos Ron<BR>
February 1992<BR>
has appeared in Constr.Approx.; 9; 1993; 123--166;<BR>

<P>
<DD><!WA46><!WA46><!WA46><!WA46><A href="ftp://ftp.cs.wisc.edu/Approx/several.ps"><!WA47><!WA47><!WA47><!WA47><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>several.ps</TT> :=<BR>
The structure of finitely generated shift-invariant spaces in $L_2(\RR^d)$ <BR>
Carl de Boor, Ronald A. DeVore, Amos Ron<BR>
February 1992<BR>
has appeared in J. of Functional Analysis 119(1); 1994; 37--78;<BR>


<P>
<DD><!WA48><!WA48><!WA48><!WA48><A href="ftp://ftp.cs.wisc.edu/Approx/l2shift.ps"><!WA49><!WA49><!WA49><!WA49><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>l2shift.ps</TT> := <BR>
Approximation from shift-invariant subspaces of $L_2(\RR^d)$ <BR>
Carl de Boor, Ronald A. DeVore, Amos Ron<BR>
July 1991<BR>
has appeared in Trans.Amer.Math.Soc. 341; 1994; 787--806;<BR>
%%% note, this file has the name `ell-2-shift', not `one-two-shift'.<BR>

<P>
<DD><!WA50><!WA50><!WA50><!WA50><A href="ftp://ftp.cs.wisc.edu/Approx/aoinfty.ps"><!WA51><!WA51><!WA51><!WA51><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>aoinfty.ps</TT> :=<BR>
Fourier analysis of the approximation power of principal shift-invariant spaces<BR>
Carl de Boor, Amos Ron<BR>
July 1991<BR>
has appeared in  Constr.Approx.; 8; 1992; 427--462;<BR>


<P>
<DD><!WA52><!WA52><!WA52><!WA52><A href="ftp://ftp.cs.wisc.edu/Approx/leastsol.ps"><!WA53><!WA53><!WA53><!WA53><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>leastsol.ps</TT> :=<BR>
The least solution for the polynomial interpolation problem;<BR>
Carl de Boor, Amos Ron<BR>
has appeared in Math.Zeitschrift; 210; 1992; 347--378;<BR>

<P>
<DD><!WA54><!WA54><!WA54><!WA54><A href="ftp://ftp.cs.wisc.edu/Approx/compleast.ps"><!WA55><!WA55><!WA55><!WA55><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>compleast.ps</TT> :=<BR>
Computational aspects of polynomial interpolation in several variables<BR>
Carl de Boor, Amos Ron<BR>
has appeared in Math.Comp.; 58; 1992; 705--727;<BR>


<P>
<DD><!WA56><!WA56><!WA56><!WA56><A href="ftp://ftp.cs.wisc.edu/Approx/polideal.ps"><!WA57><!WA57><!WA57><!WA57><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>polideal.ps</TT> :=<BR>
Polynomial ideals and multivariate splines;<BR>
Carl de Boor, Amos Ron<BR>
has appeared in <BR>
(Multivariate Approximation Theory IV, ISNM 90),<BR>
C. Chui, W. Schempp, and K. Zeller (eds.),<BR>
Birk\-h\"auser Verlag (Basel); 1989; 31--40;<BR>

<P>
<DD><!WA58><!WA58><!WA58><!WA58><A href="ftp://ftp.cs.wisc.edu/Approx/multiint.ps"><!WA59><!WA59><!WA59><!WA59><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>multiint.ps</TT> :=<BR>
On multivariate polynomial interpolation;<BR>
Carl de Boor, Amos Ron<BR>
has appeared in Constr. Approx.; 6; 1990; 287--302;<BR>


<P>
<DD><!WA60><!WA60><!WA60><!WA60><A href="ftp://ftp.cs.wisc.edu/Approx/quasi.ps"><!WA61><!WA61><!WA61><!WA61><img alg="o" 
src="http://www.cs.wisc.edu/~amos/acimages/redball.gif"></A>
<TT>quasi.ps</TT> :=<BR>
The exponentials in the span of the multiinteger <BR>
translates of a compactly supported function: <BR>
quasiinterpolation and approximation order<BR>
1989<BR>
Carl de Boor and Amos Ron<BR>
has appeared in<BR>
J. London Math. Soc. (2); 45; 1992; 519--535;<BR>


